TY - JOUR
T1 - Extensions of boolean rings and nearrings
AU - Nayak, Hamsa
AU - Kuncham, Syam P.
AU - Kedukodi, Babushri S.
N1 - Funding Information:
The authors thank the anonymous reviewers for their comments and suggestions. All authors acknowledge Manipal Institute of Technology, Manipal Academy of Higher Education for their encouragement. The first author acknowledges Manipal Academy of Higher Education for Dr. T. M.A. Pai PhD Scholarship.
Publisher Copyright:
© Siberian Federal University. All rights reserved.
PY - 2019/1/1
Y1 - 2019/1/1
N2 - In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.
AB - In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.
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U2 - 10.17516/1997-1397-2019-12-1-58-67
DO - 10.17516/1997-1397-2019-12-1-58-67
M3 - Article
AN - SCOPUS:85062293453
SN - 1997-1397
VL - 12
SP - 58
EP - 67
JO - Journal of Siberian Federal University - Mathematics and Physics
JF - Journal of Siberian Federal University - Mathematics and Physics
IS - 1
ER -